Vortex formation out of two-dimensional orifices

Journal of Fluid Mechanics

Volumn 655, Issue , 2010, Pages 198-216

  Pedrizzetti, Gianni ^a  

^a UNIVERSITY OF TRIESTE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

NAVIER STOKES EQUATIONS; ORIFICES; REYNOLDS NUMBER; SHEAR FLOW;

AXIALLY SYMMETRIC; COHERENT VORTICES; FORMATION PROCESS; SINGLE-VORTEX MODELS; SMALL-SCALE VORTICES; TWO-DIMENSIONAL FLOW; TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS; VARIABLE CURVATURE;

VORTEX FLOW;

BIOLOGY; FLUID DYNAMICS; NAVIER-STOKES EQUATIONS; NUMERICAL MODEL; REYNOLDS NUMBER; TWO-DIMENSIONAL FLOW; VORTEX FLOW;

EID: 77958538687     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010000844     Document Type: Article

References (27)

1. Afanasyev, Y. D. 2006 Formation of vortex dipoles. Phys. Fluids 18, 037103.
2. Blondeaux, P. & De Bernardinis, B. 1983 On the formation of vortex pairs near orifices. J. Fluid Mech. 135, 111-122.
3. Brown, C. E. & Michael, W. H. 1954 Effect of leading edge separation on the lift of a delta wing. J. Aeronaut. Sci. 21 (10), 690-694, 706.
4. Dabiri, J. O. 2009 Optimal vortex formation as a unifying principle in biological propulsion. Annu. Rev. Fluid Mech. 41, 17-33.
5. Dabiri, J. O. & Gharib, M. 2005 Starting flow through nozzles with temporally variable exit diameter. J. Fluid Mech. 538, 111-136.
6. Gharib, M., Rambod, E., Kheradvar, A., Sahn, D. J. & Dabiri, J. O. 2006 Optimal vortex formation as an index of cardiac health. Proc. Natl Acad. Sci. 109, 6205-6308.
7. Gharib, M., Rambod, E. & Shariff, K. 1998 A universal time scale for vortex ring formation. J. Fluid Mech. 360, 121-140.
8. Hofmans, G. C. J. 1998 Vortex Sound in Confined Flows. Technische Universiteit Eindhoven. ISBN 90-386-0697-4. http://alexandria.tue.nl/extra2/ 9802719.pdf.
9. Hong, G. R., Pedrizzetti, G., Tonti, G., Li, P., Wei, P., Kim, J. K., Bawela, A., Liu, S., Chung, N., Houle, H., Narula, J. & Vannan, M. A. 2008 Characterization and quantification of vortex flow in the human left ventricle. J. Am. Coll. Cardiol. Img. 1, 705-717.
10. Kheradvar, A. & Gharib, M. 2007 Influence of ventricular pressure drop on mitral annulus dynamics through the process of vortex ring formation. Ann. Biomed. Engng 35, 2050-2064.
11. Kheradvar, A. & Gharib, M. 2009 On mitral valve dynamics and its connection to early diastolic flow. Ann. Biomed. Engng 37, 1-13.
12. Kilner, P. J., Yang, G. Z., Wilkes, A. J., Mohiaddin, R. H., Firmin, D. N. & Yacoub, M. H. 2000 Asymmetric redirection of flow through the heart. Nat ur e 404, 759-761.
13. Korakianitis, T. & Shi, Y. 2006 Numerical simulation of cardiovascular dynamics with healthy and diseased heart valves. J. Biomech. 39, 1964-1982.
14. Krueger, P. S. 2008 Circulation and trajectories of vortex rings formed from tube and orifice openings. Physica D 237, 2218-2222.
15. Lamb, H. 1932. Hydrodynamics, 6th edn. Cambridge University Press.
16. Luchini, P. & Tognaccini, R. 2002 The start-up vortex issuing from a semi-infinite flat plate. J. Fluid Mech. 455, 175-193.
17. Mohseni, K. & Gharib, M. 1998 A model for universal time scale of vortex ring formation. Phys. Fluids 10, 2436-2438.
18. Mohseni, K., Ran, H. Y. & Colonius, T. 2001 Numerical experiments on vortex ring formation. J. Fluid Mech. 430, 267-282.
19. Pedrizzetti, G. 2005 Kinematic characterization of valvular opening. Phys. Rev. Lett. 94, 194-502.
20. Pedrizzetti, G. & Domenichini, F. 2005 Nature optimizes the swirling flow in the human left ventricle. Phys. Rev. Lett. 95, 1080101.
21. Pedrizzetti, G. & Domenichini, F. 2006 Flow-driven opening of a valvular leaflet. J. Fluid Mech. 569, 321-330.
22. Pedrizzetti, G. & Domenichini, F. 2007 Asymmetric opening of a simple bi-leaflet valve. Phys. Rev. Lett. 98, 214-503.
23. Pullin, D. I. 1978 The large-scale structure of unsteady self-similar rolled-up vortex sheets. J. Fluid Mech. 88, 401-430.
24. Rosenfeld, M., Rambod, E. & Gharib, M. 1998 Circulation and formation number of laminar vortex rings. J. Fluid Mech. 376, 297-318.
25. Rott, N. 1956 Diffraction of a weak shock with vortex generation. J. Fluid Mech. 1, 111-128.
26. Routh, E. J. 1881 Some applications of conjugate functions Proc. Lond. Math. Soc. 12, 73-89.
27. Shusser, M. & Gharib, M. 2000 Energy and velocity of a forming vortex ring. Phys. Fluids 12, 618-621.